대한수학회지 (Journal of the Korean Mathematical Society)

  • 제57권2호
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  • Pages.313-329
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  • 2020
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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HARNACK ESTIMATES FOR NONLINEAR BACKWARD HEAT EQUATIONS WITH POTENTIALS ALONG THE RICCI-BOURGUIGNON FLOW

  • Wang, Jian-Hong (School of Mathematical Sciences East China Normal University)
  • 투고 : 2019.01.16
  • 심사 : 2019.08.26
  • 발행 : 2020.03.01
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초록

In this paper, we derive various differential Harnack estimates for positive solutions to the nonlinear backward heat type equations on closed manifolds coupled with the Ricci-Bourguignon flow, which was done for the Ricci flow by J.-Y. Wu [30]. The proof follows exactly the one given by X.-D. Cao [4] for the linear backward heat type equations coupled with the Ricci flow.

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참고문헌

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